We have all of the variables on the left. Now, keep going. What move can you make next to get rid of 10 on the left so that the x term, 5x, is alone on the left?

Jane's miles
=
Charlie's miles

10+10x
=
30+5x

5x

5x

10+5x
=
30

Subtract 10 from both sides

Add 10 to both sides

1 answer

To isolate the term with \(x\) on the left side, you should subtract \(10\) from both sides of the equation.

So, your equation goes from:

\[ 10 + 5x = 30 \]

to:

\[ 5x = 30 - 10 \]

This simplifies to:

\[ 5x = 20 \]

Now, the \(x\) term, \(5x\), is alone on the left side, and you can proceed to solve for \(x\).

So, the correct move is:

Subtract 10 from both sides.